Question

If 5 ^-p=4^-q=20^r show that 1/p + 1/q+ 1/r =0

Answer 1

Answer:

Step-by-step explanation:

Let

5

−

p

=

4

−

q

=

20

r

=

1

k

5

p

=

4

q

=

20

−

r

=

k

So

5

=

k

1

p

4

=

k

1

q

And

20

−

r

=

k

⇒

20

=

k

−

1

r

⇒

5

×

4

=

k

−

1

r

⇒

k

1

p

×

k

1

q

=

k

−

1

r

⇒

k

1

p

+

1

q

=

k

−

1

r

⇒

1

p

+

1

q

=

−

1

r

⇒

1

p

+

1

q

+

1

r

=

0

proved